Scalar-tensor propagation of light in the inner solar system at the millimetric level

Abstract

In a recent paper [1], motivated by forthcoming space experiments involving propagation of light in the Solar System, we have proposed an extention of the IAU metric equations at the c-4 level in General Relativity. However, scalar-tensor theories may induce corrections numerically comparable to the c-4 general relativistic terms. Accordingly, one first proposes in this paper an extension of [1] to the scalar-tensor case. The case of a hierarchized system (such as the Solar system) is emphasized. In this case, the relevant metric solution is proposed. Then, the geodesic solution relevant for propagation of light in the inner solar system at the millimetric level is given in explicit form.

arXiv comment18 pages, This article can be regarded as an extension of "eprint arXiv:1003.1889"

References in corpus (30)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Progress in Lunar Laser Ranging Tests of Relativistic Gravity
• Avoiding Dark Energy with 1/R Modifications of Gravity
• The IAU 2000 resolutions for astrometry, celestial mechanics and metrology in the relativistic framework: explanatory supplement
• Testing gravity to second post-Newtonian order: a field-theory approach
• Lorentz Covariant Theory of Light Propagation in Gravitational Fields of Arbitrary-Moving Bodies
• Quantum Physics Exploring Gravity in the Outer Solar System: The Sagas Project
• Equatorial circular orbits in the Kerr-de Sitter spacetimes
• On the influence of the cosmological constant on gravitational lensing in small systems
• The subsurface radial gradient of solar angular velocity from MDI f-mode observations
• Precise relativistic orbits in Kerr and Kerr-(anti) de Sitter spacetimes
• Parametrized Post-Newtonian Theory of Reference Frames, Multipolar Expansions and Equations of Motion in the N-body Problem
• ASTROD and ASTROD I -- Overview and Progress
• Frame dragging and bending of Light in Kerr and Kerr-(anti) de Sitter spacetimes
• Sensitivity of helioseismic gravity modes to the dynamics of the solar core
• The role of Lambda in the cosmological lens equation
• Rigorous Approach to the Gravitational Lensing
• Pseudo-Newtonian gravitational potential for Schwarzschild-de Sitter spacetimes
• The bending of light and the cosmological constant
• The Relevance of the Cosmological Constant for Lensing
• Advancing Tests of Relativistic Gravity via Laser Ranging to Phobos
• Odyssey: a Solar System Mission
• Micro-arcsecond light bending by Jupiter
• Numerical versus analytical accuracy of the formulas for light propagation
• Relativistic Celestial Mechanics with PPN Parameters
• Strong lensing in the Einstein-Straus solution
• Second post-Newtonian approximation of scalar-tensor theory of gravity
• Cosmological constant and time delay
• LATOR Covariance Analysis

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• The Second Post-Newtonian Light Propagation and Its Astrometric Measurement in the Solar System
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• Time Transfer functions as a way to validate light propagation solutions for space astrometry
• New method for determining the light travel time in static, spherically symmetric spacetimes. Calculation of the terms of order $G^3$
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• Light propagation in 2PN approximation in the field of one moving monopole: I. Initial value problem
• Light propagation in 2PN approximation in the field of one moving monopole II. Boundary value problem
• The γ parameter in Brans-Dicke-like (light-)Scalar-Tensor theory with a universal scalar/matter coupling
• Light propagation in 2PN approximation in the monopole and quadrupole field of a body at rest: Initial value problem
• Post-linear metric of a compact source of matter
• 2PN/RM gauge invariance in Brans-Dicke-like scalar-tensor theories
• Astronomical relativistic reference systems with multipolar expansion: the global one
• Numerical evaluation of the exact post-Newtonian parameters in Brans-Dicke and entangled relativity theories